2008 | OriginalPaper | Chapter
Computing L-Series of Hyperelliptic Curves
Authors : Kiran S. Kedlaya, Andrew V. Sutherland
Published in: Algorithmic Number Theory
Publisher: Springer Berlin Heidelberg
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We discuss the computation of coefficients of the
L
-series associated to a hyperelliptic curve over ℚ of genus at most 3, using point counting, generic group algorithms, and
p
-adic methods.